Pith Number

pith:QZZ2WJYJ

pith:2015:QZZ2WJYJZVCHLJFFRI4NKCWMSG

not attested not anchored not stored refs pending

On Schur 2-groups

Ilya Ponomarenko, Mikhail Muzychuk

arxiv:1503.02621 v1 · 2015-03-09 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZZ2WJYJZVCHLJFFRI4NKCWMSG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:42:07.984649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8673ab2709cd4475a4a58a38d50acc9191d20b83f243d1819f5dcf1bd865f2e1

Aliases

arxiv: 1503.02621 · arxiv_version: 1503.02621v1 · doi: 10.48550/arxiv.1503.02621 · pith_short_12: QZZ2WJYJZVCH · pith_short_16: QZZ2WJYJZVCHLJFF · pith_short_8: QZZ2WJYJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QZZ2WJYJZVCHLJFFRI4NKCWMSG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8673ab2709cd4475a4a58a38d50acc9191d20b83f243d1819f5dcf1bd865f2e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "048994c870e7d47e4722fc94d5ca764175609be7085f55aa76ad9270c6a9c01f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-09T19:02:23Z",
    "title_canon_sha256": "ec3243a8c2fdbcb0f5af542daedaa35f27b95f92a482848cc01263e9a5d76860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02621",
    "kind": "arxiv",
    "version": 1
  }
}